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bixtya [17]
3 years ago
7

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

y = \frac{49}{3}

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 7 when x = 3

k = \frac{y}{x} = \frac{7}{3}, thus

y = \frac{7}{3} x ← equation of variation

When x = 7, then

y = \frac{7}{3} × 7 = \frac{49}{3}

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Someone help please
ratelena [41]

Answer:

77

Step-by-step explanation:

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4 0
3 years ago
Select the correct answer from each drop-down menu.
german

5 is a coefficient.  A coefficient is a number multiplied by a variable.


(2y+13) is a factor.  It can be multiplied by 8 to get an extended answer.


-1 is a constant.  A constant is a number that does not change.


Hope this helps!

7 0
3 years ago
Read 2 more answers
Solve the following system of equations by elimination​
olya-2409 [2.1K]

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

5 0
2 years ago
James wants to compete in the international speed texting competition next year where participants compete on text speed and acc
makkiz [27]

1a 2.5 characters per second

1b 3 characters per second

1c 3.5 characters per second

1d s = 2 + 0.5m

2a 8 = 2 +0.5m

6=0.5 m

m=12

2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.

3a 10 r +4 = 8

10r =4

r =4/10=2/5

3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.

4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?

If this helps, please consider giving me brainliest.  

3 0
3 years ago
Tamia's family traveled 5/8 of the distance to her grandfather's house on Saturday. They traveled 1/3 of the remaining distance
antoniya [11.8K]

Answer:

2/8

Step-by-step explanation:

Tamila traveled 5/8 of the distance to her grandmother house on Saturday

They traveled 1/3 of the remaining distance on Sunday

Therefore the total distance traveled to her grandmother's house on Sunday can be calculated as follows

5+1

= 6

8-6

= 2

2/8

Hence the distance travelled is 2/8

8 0
3 years ago
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